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Finding the Fourth Proportional to 205,762.28, 284,049.03 and 154,794.46

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Solution

The fourth proportional to 205,762.28, 284,049.03 and 154,794.46 is: 213,689.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,762.28 : 284,049.03 = 154,794.46 : x
  2. Step 2: Convert to fraction form
    205,762.28/284,049.03 = 154,794.46/x
  3. Step 3: Cross multiply
    205,762.28x = 284,049.03 × 154,794.46
  4. Step 4: Simplify right side
    205,762.28x = 43,969,216,535.51
  5. Step 5: Solve for x
    x = 43,969,216,535.51/205,762.28
  6. Step 6: Final answer
    x = 213,689.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.